Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-22
Phys.Rev. D74 (2006) 044023
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 PRD pages, 1 figure
Scientific paper
10.1103/PhysRevD.74.044023
Following Dirac's brane variation prescription, the brane must not be deformed during the variation process, or else the linearity of the variation may be lost. Alternatively, the variation of the brane is done, in a special Dirac frame, by varying the bulk coordinate system itself. Imposing appropriate Dirac style boundary conditions on the constrained 'sandwiched' gravitational action, we show how Israel junction conditions get relaxed, but remarkably, all solutions of the original Israel equations are still respected. The Israel junction conditions are traded, in the $Z_2$-symmetric case, for a generalized Regge-Teitelboim type equation (plus a local conservation law), and in the generic $Z_2$-asymmetric case, for a pair of coupled Regge-Teitelboim equations. The Randall-Sundrum model and its derivatives, such as the Dvali-Gabadadze-Porrati and the Collins-Holdom models, get generalized accordingly. Furthermore, Randall-Sundrum and Regge-Teitelboim brane theories appear now to be two different faces of the one and the same unified brane theory. Within the framework of unified brane cosmology, we examine the dark matter/energy interpretation of the effective energy/momentum deviations from General Relativity.
Davidson Aharon
Gurwich Ilya
No associations
LandOfFree
Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-208454